On Effective Iitaka Fibration Indices for Stable Minimal Models with Large Iitaka Volumes

Hexu Liu

On Effective Iitaka Fibration Indices for Stable Minimal Models with Large Iitaka Volumes

Algebraic Geometry 2026-03-30 v1

Authors: Hexu Liu

Abstract

Given a pair $(V,C)$ that admits a stable minimal model with fixed dimension, fixed coefficient set, and bounded relative volume, we study when the linear system $|m(K_V+C)|$ induces an Iitaka fibration, assuming the Iitaka volume of $K_V+C$ is sufficiently large.

Keywords

Iitaka fibration stable minimal model Iitaka volume algebraic geometry effective index linear system

Cite

@article{arxiv.2603.26047,
  title  = {On Effective Iitaka Fibration Indices for Stable Minimal Models with Large Iitaka Volumes},
  author = {Hexu Liu},
  journal= {arXiv preprint arXiv:2603.26047},
  year   = {2026}
}

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34 pages

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